1- 2- Two newly discovered planets follow circular orbits around a star in a dis

Question

1-

2- Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are determined to be 44.2 km/s and 58.9km/s. The slower planet's orbital period is 7.40 years.

(a) What is the mass of the star?
kg

(b) What is the orbital period of the faster planet, in years?
yr

3-A bicyclist rides 3.0 km due east, while the resistive force from the air has a magnitude of 2.9 N and points due west. The rider then turns around and rides 3.0 km due west, back to her starting point. The resistive force from the air on the return trip has a magnitude of 2.8 N and points due east.

(a) Find the work done by the resistive force during the round trip.

(b) Based on your answer to part (a), is the resistive force a conservative force?, Explain.

Explanation / Answer

1)we know that

S = r x theta

where r = 10.4 m and theta = 35.8o = 35.8 x (pi/180) radians

Also,

S = (1/2)gt^2

or t^2 = (2S/g)

or t = (2S/g)^1/2

where t is time taken and g = 9.8 m/s^2

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